Why not just create one game where you can select your own Nyan Cat? You could select which national anthem midi you'd like to play in the background and which "body" you want for your Nyan Cat. It would probably be super easy to do, and have a much larger scope than doing individual ones like this.

If you wanted to go the extra mile, you could maybe find a way to export the loop into a .gif so people could save it and share. I'm not sure if that's even possible though, I'm fail at Flash.